If 31.2 out of every 100 pregnant women in India deliver their babies by C-section.
First, we need to find the fraction of pregnant women who deliver by C-section
31.2 out of 100 = 31.2/100 = 0.312
Then, we can use this fraction to find the number of pregnant women out of 85,733 who would be expected to deliver by C-section.
0.312 x 85,733 = 26,723.896
Rounding to the nearest whole number, we get
26,724 pregnant women.
26,724 pregnant women out of 85,733 would be expected to deliver by C-section.
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Determine whether each proportion is true or false. Show your (7/3)/(3/4) = (2/3)/(4/7)
The proportion illustrated as (7/3)/(3/4) = (2/3)/(4/7) is false.
How to determine whether each proportion is true?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
The fraction will be illustrated thus:
(7/3) / (3/4)
= 7/3 × 4/3
= 28/9
= 3 1/9
(2/3( / (4/7)
= 2/3 × 7/4
= 14/12
= 1 1/6
Therefore it's false as the values are different.
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Help please!! So confused, determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
The perimeter of the right triangle is 26 units.
From the given graph, the measure of side AB= 8 units and the measure of side BC= 7 units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
By Pythagoras theorem,
AC²=AB²+BC²
⇒ AC²=8²+7²
⇒ AC²=113
⇒ AC=10.63
≈ 11 units
Perimeter =AB+BC+AC
= 8+7+11
= 26 units
Therefore, the perimeter of the right triangle is 26 units.
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Need help on this!!! Pls help!!!
a) The mean of the data-set is of 2.
b) The range of the data-set is of 4 units, which is of around 4.3 MADs.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.
The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:
Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)
Mean = 2.
The range is the difference between the largest observation and the smallest, hence:
4 - 0 = 4.
4/0.93 = 4.3 MADs.
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Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.
please anybody can help me
Answer:
44°
Step-by-step explanation:
Hope it help
Please help me with this question and please show me step by step and the frmula used.
By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.
How to determine the initial height of the ball
In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:
(t, h) = (0 s, 5 ft)
Second, the final height of the ball is equal to:
h = 5 ft
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3 pounds (lbs) = Grams (g)
A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds with a standard deviation of 7.5 pounds. What are the null and alternative hypothesis in this situation
The null and alternative hypothesis for the tests are:
H0: μ = 20
Ha: μ < 20
Given data:
In this situation, the null and alternative hypotheses can be formulated as follows:
Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.
Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.
In symbolic notation:
H0: μ = 20
Ha: μ < 20
where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.
The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.
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g less than the quotient of 7 and 8
Answer:
"g - (7 • 8)" is correct. :)
how do you find the limit of the following equation as x approaches 0, please outline all steps involved including the factorization
Solution:
Given:
\(\lim_{x\to0}(\frac{\sqrt{x+1}-1}{x})\)To solve, we have
step 1: From rationalization.
This gives:
\(\begin{gathered} \frac{1}{\sqrt{x+1}+1}\times\frac{\sqrt{x+1}-1}{\sqrt{x+1}-1} \\ =\frac{\sqrt{x+1}-1}{(\sqrt{x+1})^2-1} \\ =\frac{\sqrt{x+1}-1}{x+1-1} \\ \implies\frac{\sqrt{x+1}-1}{x} \\ This\text{ implies that} \\ \frac{\sqrt{x+1}-1}{x}\text{ is equaivalent to}\frac{1}{\sqrt{x+1}+1} \end{gathered}\)step 2: Substitute the value of zero for x.
Thus, we have
\(\begin{gathered} \lim_{x\to0}(\frac{1}{\sqrt{x+1}+1}) \\ when\text{ x =0, we have} \\ \frac{1}{\sqrt{0+1}+1}=\frac{1}{2} \end{gathered}\)Hence, we have
\(\lim_{x\to0}(\frac{\sqrt{x+1}-1}{x})=\frac{1}{2}\)Use π = \frac{22}{7}: Henry bought exactly the right amount of fencing to put around his circular herb garden, which has a diameter of 14 feet. Then he decides to make the garden larger by doubling the diameter. How much more fencing does Henry need to purchase to enclose the new garden?
The answer of the given question based on the circle is , Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
What is Circumference?Circumference is distance around edge of circular object. It is same as perimeter of circle. The circumference of a circle can be calculated using the radius of the circle, which is half the diameter.
The circumference of circle with diameter d is given :
C = πd
Using the given diameter of 14 feet, the circumference of the original garden is:
C1 = πd1 = (22/7) * 14 = 44 feet
When the diameter is doubled to 28 feet, the circumference of the new garden is:
C2 = πd2 = (22/7) * 28 = 88 feet
To find how much more fencing Henry needs to purchase to enclose the new garden, we need to subtract the original circumference from the new circumference:
C2 - C1 = 88 - 44 = 44 feet
Therefore, Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
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(4,8), m=5 need a step by step answer please
Answer:
8=4x+5
Step-by-step explanation:
Slope-intercept form: y=mx+b
1. Identify your terms:
x: 4
y:8
b/slope: 5
2. Solution:
8=4x+5
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
Write
6
1
2
as an improper fraction.
Answer:
13/2
Step-by-step explanation:
you do 6*2=12+1=13 which gives ya 13/2
you keep the denominator
Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute long video
The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.
What is the time taken by Mabel to edit the hour?According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.
On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.
Hence, the time taken to edit the 15minute long video is; 20 hours.
hi
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Prepare an accrual basis income statement for 2021
Cash- $164000
Accounts Receivable- 92,000
Inventory- 62,000
Prepaid insurance- ?
Prepaid rent- ?
Interest receivable- ?
Notes receivable- 50,000
Equipment- 100,000
Accumulated depreciation- (50,000)
Accounts payable (for merchandise)- 122,000
Salaries payable- 24,000
Notes payable- 100,000
Interest payable- ?
Additional info:
1. On March 31, 2020 Zambrano lent a customer $50,000. Interest 8& is payable anually on each March 31.
2. The annual insurance payment is paid in advance on April 30. The policy begins on May 1.
3. On October 31, 2021, Zambrano borrowed $100,000 from a local bank and signed a note promising repayment. Principle and interest at 6% are due on October 21, 2022.
4. Annual rent on the company's facilities is paid in advance on June 30. The rental period begins on July 1.
The preparation of an accrual basis income statement for Zambrano Wholesale Corporation for the year ended December 31, 2021, is as follows:
Zambrano Wholesale Corporation
Income StatementFor the year ended December 31, 2021
Sales Revenue $705,000
Cost of goods sold 408,000
Gross profit $297,000
Interest Revenue 4,000
Total income $301,000
Expenses:Insurance Expense $6,500
Interest Expense 1,000
Rent Expenses 23,000
Salary Expenses 214,000
Total Expenses $244,500
Net income $56,500
What is an accrual basis income statement?Using an accrual basis, the income statement summarizes the revenue and expenses of the relevant period, whether they involve cash transactions.
The accrual basis ensures that all revenues and expenses relating to the financial period are recognized.
Analysis of Adjustments:1. Interest Receivable $3,000 ($3,000 + $50,000 x 8% - $4,000) Cash $4,000 Interest Receivable $3,000 Interest Revenue $4,000
2. Insurance Expense $6,500 Prepaid Insurance $6,500 ($2,500 + $6,000 x 8/12)
3. Interest Expense $1,000 ($100,000 x 6% x 2/12) Interest Payable $1,000
4. Rent Expenses $23,000 Prepaid Rent $23,000 ($11,000 + $24,000 - $12,000)
Salary Expenses = $214,000 ($210,000 + 24,000 - 20,000)
Sales Revenue = (Receipts from customers + Ending balance - Beginning balance)
= $705,000 ($675,000 + 92,000 - 62,000)
Cost of goods sold = Beginning inventory + purchases - Ending inventory)
= $408,000 ($80,000 + 390,000 - 62,000)
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Question Completion:Cash receipts:From customers $675,000
Interest on note 4,000
Loan from a local bank 100,000
Total cash receipts $779,000
Cash disbursements:Purchase of merchandise $390,000
Annual insurance payment 6,000
Payment of salaries 210,000
Dividends paid to shareholders 10,000
Annual rent payment 24,000
Total cash disbursements =$640,000
Cash- $25,000 $164000
Accounts Receivable- $62,000 92,000
Inventory- $80,000 62,000
Prepaid insurance $2,500 $6,000
Prepaid rent $11,000 $2,000
Interest receivable $3,000 $3,000
Notes receivable $100,000 50,000
Equipment $100,000 100,000
Accumulated depreciation (40,000) (50,000)
Accounts payable (for merchandise) $110,000 122,000
Salaries payable $20,000 24,000
Notes payable $0 $100,000
Interest payable $0 $1,000
What postulate or theorem allows you to state that angle DEF is congruent to angle GHJ
Then you can state that angle DEF is congruent to angle GHJ.
The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.
This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.
In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and
you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.
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If A=(4,-5) and B=(7,-9), what is the length of AB
The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.
The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.
Let's calculate the length of AB using the given coordinates for points A and B:
Coordinates of point A: A = (4, -5)
Coordinates of point B: B = (7, -9)
The distance formula is given by:
\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)
Substituting the coordinates of A and B into the formula:
\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)
d = √[9 + 16]
d = √25
d = 5
Therefore, the length of line segment AB is 5 units.
The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.
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Can somebody help me find the perimeter of this figure?
Answer:
I'm not exactly sure but
try 36inches??
Answer:
your answer is 36 inches.
Step-by-step explanation:
Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.
Mark me brainliest pLZ!!!!!!
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Help me with this answer please!
HELP ME PLEASE! | Khan Academy | ILL GIVE BRANLIEST
Answer:
(A) -8c + 6Step-by-step explanation:
\(2( - 6c + 3) + 4c \\ 2( - 6c) + 2(3) + 4c \\ - 12c + 6 + 4c \\ - 12c + 4c + 6 \\ - 8c + 6 \\
Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
please help?!????????
Stefanie has 18 grams of 20% sugar syrup and John has 30 grams of 25% sugar syrup. If Stefanie and John mix the syrups together, how many grams of SYRUP will they have?
Answer: 48
Step-by-step explanation:
The amount of syrup they have is given by the equation A = 11.1 grams
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of grams of sugar syrup Stefanie and John have be A
Now , the amount of grams of sugar syrup Stefanie has = 18 grams
The percentage of sugar syrup with Stefanie = 20 %
So , 20 % of 18 grams = ( 20 / 100 ) x 18
20 % of 18 grams = 3.6 grams
Now , the amount of grams of sugar syrup John has = 30 grams
The percentage of sugar syrup with John = 25 %
25 % of 30 grams = ( 25/100 ) x 30
25 % of 30 grams = 7.5 grams
So , amount of grams of sugar syrup Stefanie and John have A = 3.6 + 7.5
Amount of grams of sugar syrup Stefanie and John have A = 11.1 grams
Hence , the amount of grams of syrup they have is 11.1 grams
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For each of the 6 coverage areas of a standard homeowners insurance policy, briefly describe what they cover: Dwelling, Other Structures. Personal Property,
Loss of Use, Personal Liability, Medical Payments
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Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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What should be the third row in the following series of shapes
Answer:
The answer is number 2
I am a two digit multiple of eleven. I am not odd. My digits, when multiplied, make a cube and a square out of me. What number am I? (30 pts) Explain and prove your answer. (70 pts)
The digit that when multiplied, make a cube and a square out of the number is 88.
How to calculate the value?It should be noted that this has to do with mental reasoning.
It should be noted that 8 × 8 = 64. This is the square of 8.
Also, it should be noted that 4 × 4 × 4 = 64. This gives the cube value.
Therefore, the number is 88.
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